34867138944 has 512 divisors, whose sum is σ = 112098816000. Its totient is φ = 9483264000.

The previous prime is 34867138939. The next prime is 34867138961. The reversal of 34867138944 is 44983176843.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165246999 + ... + 165247209.

It is an arithmetic number, because the mean of its divisors is an integer number (218943000).

Almost surely, 2^34867138944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34867138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56049408000).

34867138944 is an abundant number, since it is smaller than the sum of its proper divisors (77231677056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34867138944 is a wasteful number, since it uses less digits than its factorization.

34867138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The spelling of 34867138944 in words is "thirty-four billion, eight hundred sixty-seven million, one hundred thirty-eight thousand, nine hundred forty-four".